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Finding the Third Proportional to 147,329,238 and 320,815,341

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Solution

The third proportional to 147,329,238 and 320,815,341 is: 698,588,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,329,238 : 320,815,341 = 320,815,341 : x
  2. Step 2: Convert to fraction form
    147,329,238/320,815,341 = 320,815,341/x
  3. Step 3: Cross multiply
    147,329,238x = 320,815,341 × 320,815,341
  4. Step 4: Simplify right side
    147,329,238x = 102,922,483,020,946,288
  5. Step 5: Solve for x
    x = 102,922,483,020,946,288/147,329,238
  6. Step 6: Final answer
    x = 698,588,307.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.